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[Tree]116. Populating Next Right

[Tree]116. Populating Next Right

作者: 野生小熊猫 | 来源:发表于2019-02-25 03:40 被阅读0次
    • 分类:Tree
    • 时间复杂度: O(n)
    • 空间复杂度: O(h)

    116. Populating Next Right Pointers in Each Node

    You are given a perfect binary tree where all leaves are on the same level, and every parent has two children. The binary tree has the following definition:

    
    struct Node {
    
     int val;
    
     Node *left;
    
     Node *right;
    
     Node *next;
    
    }
    
    

    Populate each next pointer to point to its next right node. If there is no next right node, the next pointer should be set to NULL.

    Initially, all next pointers are set to NULL.

    Example:

    image
    
    Input: {"$id":"1","left":{"$id":"2","left":{"$id":"3","left":null,"next":null,"right":null,"val":4},"next":null,"right":{"$id":"4","left":null,"next":null,"right":null,"val":5},"val":2},"next":null,"right":{"$id":"5","left":{"$id":"6","left":null,"next":null,"right":null,"val":6},"next":null,"right":{"$id":"7","left":null,"next":null,"right":null,"val":7},"val":3},"val":1}
    
    Output: {"$id":"1","left":{"$id":"2","left":{"$id":"3","left":null,"next":{"$id":"4","left":null,"next":{"$id":"5","left":null,"next":{"$id":"6","left":null,"next":null,"right":null,"val":7},"right":null,"val":6},"right":null,"val":5},"right":null,"val":4},"next":{"$id":"7","left":{"$ref":"5"},"next":null,"right":{"$ref":"6"},"val":3},"right":{"$ref":"4"},"val":2},"next":null,"right":{"$ref":"7"},"val":1}
    
    Explanation: Given the above perfect binary tree (Figure A), your function should populate each next pointer to point to its next right node, just like in Figure B.
    
    

    Note:

    • You may only use constant extra space.

    • Recursive approach is fine, implicit stack space does not count as extra space for this problem.

    代码:

    我自己的代码思路:

    """
    # Definition for a Node.
    class Node:
        def __init__(self, val, left, right, next):
            self.val = val
            self.left = left
            self.right = right
            self.next = next
    """
    class Solution:
        
        prev_nodes=[]
        
        def connect(self, root: 'Node') -> 'Node':
            
            if not root:
                return None
            
            return self.helper(root,0)
            
            
        def helper(self,root,level):
            
            if root==None:
                if self.prev_nodes==[]:
                    self.prev_nodes=[None] * level
                return
            
            self.helper(root.right,level+1)
            self.helper(root.left,level+1)
            root.next=self.prev_nodes[level]
            self.prev_nodes[level]=root
            return root
    

    youtube上猫打球的思路代码:

    """
    # Definition for a Node.
    class Node:
        def __init__(self, val, left, right, next):
            self.val = val
            self.left = left
            self.right = right
            self.next = next
    """
    class Solution:
        
        prev_nodes=[]
        
        def connect(self, root: 'Node') -> 'Node':
            
            if not root:
                return None
            
            return self.helper(root,0)
            
            
        def helper(self,root,level):
            
            if root==None:
                if self.prev_nodes==[]:
                    self.prev_nodes=[None] * level
                return
            
            self.helper(root.right,level+1)
            self.helper(root.left,level+1)
            root.next=self.prev_nodes[level]
            self.prev_nodes[level]=root
            return root
    

    GTH思路代码的变种:

    """
    # Definition for a Node.
    class Node:
        def __init__(self, val, left, right, next):
            self.val = val
            self.left = left
            self.right = right
            self.next = next
    """
    class Solution:
        
        def connect(self, root: 'Node') -> 'Node':
            
            if not root:
                return None
            
            res=Node(0,None,None,None)
            res.left=root
            
            while root!=None:
                self.helper(root)
                root=root.left
            
            return res.left
            
            
        def helper(self,root):
            if root.left==None and root.right==None:
                return
            root.left.next=root.right
            if root.next==None:
                root.right.next==None
            else:  
                root.right.next=root.next.left
            
            if root.next!=None:
                self.helper(root.next)
            else:
                return 
    

    讨论:

    1.自己写了一个代码,但是为啥这么慢?
    2.youtube上的小姐姐讲的很不错,但是为啥还是这么慢?
    3.用GTH的思路代码为什么还是这么慢?有毒吧

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